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Algebra III P.5 Factoring Polynomials!

Algebra III P.5 Factoring Polynomials!. Homework: p. 74 1-91 EOO. Factoring: Why bother? makes a polynomial simpler helps to find the zeros (x-intercepts, solutions) because it’s so much fun!!! An expression may be : factored over the set of integers

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Algebra III P.5 Factoring Polynomials!

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  1. Algebra III P.5 Factoring Polynomials! Homework: p. 74 1-91 EOO

  2. Factoring: Why bother? • makes a polynomial simpler • helps to find the zeros (x-intercepts, solutions) • because it’s so much fun!!! • An expression may be : • factored over the set of integers • irreducible over the integers (not factorable with real numbers)

  3. GreatestCommon Factor: expression of the highest degree that divides each term of the polynomial • Bain’s Words for GCF: one of every unique factor to the highest degree that it occurs! • Guided Practice Factoring using GCF:

  4. Factoring by Grouping: group terms together that have a common factor • Guided Practice:

  5. Factoring Trinomials: may be done by a variety of different methods – guess and test, grouping (5-step method). • Refresher on 5-step method • 1. ac • 2. factors of ac that add or subtract to give the middle term • 3. rewrite middle term using the factors • 4. group • 5. factor! • Example:

  6. Guided Practice: Factor the trinomials… • Factoring a trinomial in 2 variables:

  7. Factoring the difference of 2 squares:

  8. Factoring Perfect Square Trinomials: • Guided Practice:

  9. Factoring the Sum/Difference of 2 cubes: • Guided Practice:

  10. Whiteboard Practice: • Factor out the gcf: • Factor by grouping: • Factor:

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